Quarter 2 Module 9: Circles and Other Geometric Figures on ...

1 Mathematics Quarter 2 Module 9: Circles and Other Geometric Figures on the Coordinate Plane 10 CO_Q1_Mathematics 10_ Module 9 Mathematics Grade 10 Alternative Delivery Mode Quarter 2 Module 9: Circles and Other Geometric Figures on the Coordinate Plane First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. Such agency or office may, among Other things, impose as a condition the payment of royalties.

2 Borrowed materials ( , songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this Module are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them. Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio Printed in the Philippines by: Department of Education Cordillera Administrative Region Office Address: Wangal, La Trinidad, Benguet Telefax: (074) 422-4074 E-mail Address: Team of the Module Writer s Name: Esther B.

3 Guitobon Co-Writer s Name: Heather G. Banagui Reviewer s Name: Bryan A. Hidalgo Management Team: May B. Eclar Benedicta B. Gamatero Carmel F. Meris Ethielyn E. Taqued Edgar H. Madlaing Marciana M. Aydinan Lydia I. Belingon 10 Mathematics Quarter 2 Module 9: Circles and Other Geometric Figures on the Coordinate Plane Introductory Message This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson. Each SLM is composed of different parts.

4 Each part shall guide you step-by-step as you discover and understand the lesson prepared for you. Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this Module or if you need to ask your facilitator or your teacher s assistance for better understanding of the lesson. At the end of each Module , you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these. In addition to the material in the main text, Notes to the Teacher are also provided to our facilitators and parents for strategies and reminders on how they can best help you on your home-based learning.

5 Please use this Module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task. If you have any questions in using this SLM or any difficulty in answering the tasks in this Module , do not hesitate to consult your teacher or facilitator. Thank CO_Q1_Mathematics 10_ Module 9 What I Need to Know This Module was designed and written with you in mind. It is here to help you graph and solve problems involving Circles and Other Geometric Figures on the coordinate plane.

6 The scope of this Module permits it to be used in many different learning situations. The language used recognizes the diverse vocabulary level of students. The lessons are arranged to follow the standard sequence of the course but the pacing in which you read and answer this Module is dependent on your ability. After going through this Module , you are expected to: 1. graph a circle and Other Geometric Figures on the coordinate plane; and 2. solve problems involving Circles and Other Geometric Figures . What I Know DIRECTION: Let us determine how much you already know about the graphs and problems involving Circles and Other Geometric Figures on the coordinate plane.

7 Read and understand each item, choose the letter of your answer and write it on your answer sheet. 1. Which part of a circle is NOT needed to sketch its graph? a) Center b) Radius c) Radius point d) Chord 2. Given an equation of a circle, what is the first step to sketch its graph? a) Connect points to draw the circle b) Determine the center and radius c) Locate the center on the coordinate plane d) None of these 3. What is the center of a circle given the equation (x 4)2+( +1)2=100? a) ( 4,1) b) (4,1) c) (4, 1) d) (1,4) 4. What is the length of the radius of a circle given the equation 2+ 2=8?

8 A) 8 units b) 2 2 units c) 64 units d) 2 8 units 5. Which of the following equations represents the smallest circle? a) 2+ 2=4 c) 2+ 2=1 b) 2+ 2=9 d) 2+ 2=16 6. Which point is NOT on the graph of the circle (x+2)2+(y 1)2=9? a) ( 1,2) b) (1,1) c) ( 2,4) d) ( 5,1) 2 CO_Q1_Mathematics 10_ Module 9 7. If the center of a circle is located at (2,2) and it passes through the point (0,2), what is the length of its radius? a) 1unit b) 2 units c) 3 units d) 4 units 8. What is the center of a circle if the endpoints of its diameter are at (1,3) and (1, 3)? a)(1,0) b) (1,1) c) (0,0) d) (0,1) 9.

9 Which of the Circles has a center located at the second quadrant of the coordinate plane? a) 2+( +4)2=4 c) (x+5)2+(y+3)2=1 b) (x 3)2+(y 1)2=9 d) (x+3)2+(y 2)2=4 10. Which of the Circles has a center located at the y-axis? a) 2+( +4)2=4 c) (x+5)2+(y+3)2=1 b) (x 3)2+y2=9 d) (x+3)2+(y 2)2=4 For items 11 12. A radio signal can transmit messages within the boundaries of a circle with the equation x2+y2+2x 4y 21=0. 11. If one unit is equal to one kilometer, how far can the signal reach from the center? a) 3 km b) 4 km c) 5 km d) 6 km 12. What is the location of the signal s origin?

10 A) ( 1,2) b) ( 1, 2) c) ( 2, 1) d) ( 2,1) 13. A map is drawn on a grid where 1 unit is equivalent to 1km. The land area of San Mateo is in a circular form with its center located at (4,9). If the boundaries are located at 13 km radius, which point is not within the boundaries? a) ( 9,9) b) (4,22) c) ( 10,13) d) (17,9) 14. The Mayon Volcano is a tourist attraction in Albay, famous for its near perfect cone shape. When it threatens to erupt, residents within the eight-kilometer radius danger zone are advised to evacuate. Should a resident at 6km East and 7km South of the volcano evacuate?